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Chapter 12 Class 11 Limits and Derivatives

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Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

 

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

 

In this chapter, we will learn

  • What limit is
  • Finding limits by putting values
  • Finding limits of questions with 0/0 form
  • Finding limits using xn - an formula
  • Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
  • Checking if limit exists, using Right Hand Limit and Left Hand Limit
  • What a derivative is
  • Finding derivatives at a point using first principle
  • Finding derivatives at the whole domain using first principle
  • Product rule of derivatives (uv)' = u'v + v'u
  • Quotient rule of derivatives (u/v)' = (u'v - v'u)/v2
  • Finding derivatives using formulas

 

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.

 

Serial order wise

  Ex 12.1
  Ex 12.2
  Examples
  Miscellaneous

Concept wise

  Limits - Definition
  Limits - 0/0 form
  Limits - x^n formula
  Limits - Of Trignometric functions
  Limits - Limit exists
  Derivatives by 1st principle - At a point
  Derivatives by 1st principle - At a general point
  Derivatives by formula - x^n formula
  Derivatives by formula - sin & cos
  Derivatives by formula - other trignometric

What's in it?

Updated for NCERT Class 11 Book - 2023-24 Edition.

Get answers to all NCERT exercises, examples and miscellaneous questions of Chapter 13 Class 11 Limits and Derivatives free at teachoo. All solutions are prepared step-by-step wise, with concepts, formulas and detailed explanation of each and every question.

 

This chapter is the introduction to Calculus.

Calculus includes Limits, Continuity, Derivatives, Applications of Derivatives (like slope and rate of change), Integration, Application of Integration (like finding area) and Differential Equations. We will study about Limits, and Derivatives in this chapter. Rest of the topics are included in Class 12.

 

In this chapter, we will learn

  • What limit is
  • Finding limits by putting values
  • Finding limits of questions with 0/0 form
  • Finding limits using xn - an formula
  • Finding limits using Trigonometric Formula (sin x/x and 1-cos x)
  • Checking if limit exists, using Right Hand Limit and Left Hand Limit
  • What a derivative is
  • Finding derivatives at a point using first principle
  • Finding derivatives at the whole domain using first principle
  • Product rule of derivatives (uv)' = u'v + v'u
  • Quotient rule of derivatives (u/v)' = (u'v - v'u)/v2
  • Finding derivatives using formulas

 

Check out the solutions of the exercises below. or click on a topic to learn the concepts and the questions.